permuton
English
Etymology
Coined by Roman Glebov, Andrzej Grzesik, Tereza Klimošová and Daniel Kráľ in their 2013 paper, "Finitely forcible graphons and permutons", to resemble graphon.
Noun
permuton (plural permutons)
- (mathematics, physics) A probability measure Φ on the σ-algebra of Borel sets of the unit square [0,1]2 such that Φ has uniform marginals (that is, Φ ([α, β] × [0,1]) = Φ ([0,1] × [α, β]) = β − α for every 0 ≤ α ≤ β ≤ 1).
- 2016, Frédérique Bassino, Mathilde Bouvel, Valentin Féray, Lucas Gerin, Adeline Pierrot, “The Brownian limit of separable permutations”, in arXiv:
- In the recent terminology of permutons, our work can be interpreted as the convergence of uniform random separable permutations towards a "Brownian separable permuton"..
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